tinct roots. It can be determined by the value of b2 -4ac.uadratic equation can be imaginary number, equal or two dis-Learning Task 1. Complete the table given below and find the relations amongconstants a, b and c in the quadratic equation standard form.EquationRootsab2 - 4acX1X2x2 + 4x + 3 = 0x2 -5x + 4 0x2-49=04x2 - 25 = 02x2 + 7x + 3 = 0%3DDThe expression b2 - 4ac, is the quadratic equation's discriminant. Thediscriminant determines the nature of the roots of a quadratic equation.Ifb2 - 4ac =0, then the roots are real and equal part of work done by Odette in a minute1-1510Equation:1-151010(t- 15) +tt(1- 15)1%3DFind the LCD, Then add:t-15102t -15+ 10(2t – 15) = t2-152-15t1020t - 150 = t2-5 +t- 20t + 145 = 0You may solve the equation by any method applicable.Learning Task 2.A. Translate the following verbal sentences to mathematical sentence. Theepress into quadratic equations in terms of "x".GivenQuadratic Equations1. The length of a wooden frame is 1 footlonger than its width and its area is equalto 12 ft2.2. The length of the floor is 8 m longer thanits width and there is 20 square meters.3. The length of a plywood is 0.9 m morethan its width and its area is 0.36 m2.4. The area of rectangle whose length is sixless than twice its width is thirty-six.5. The width of a rectangular plot is 5 mless than its length and its area is 84 m2.B. Solve for x:%3Dx+510PIVOT 4A CALABARZON20117

we are solving the first of question of three subparts and for the remaining question part the…

ary number, equal or two dis- ned by the value of b2- 4ac. Learning Task 1. Complete the table given below and find the relations among constants a, b and c in the quadratic equation standard form. Equation b. Roots a. C. b2 - 4ac X1 X2 x2 + 4x + 3-0 x2 - 5x + 4 0 x2 - 49 -0 4x2 - 25 - 0 2x2 + 7x + 3= 0

ary number, equal or two dis- ned by the value of b2- 4ac. Learning Task 1. Complete the table given below and find the relations among constants a, b and c in the quadratic equation standard form. Equation b. Roots a. C. b2 - 4ac X1 X2 x2 + 4x + 3-0 x2 - 5x + 4 0 x2 - 49 -0 4x2 - 25 - 0 2x2 + 7x + 3= 0

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

tinct roots. It can be determined by the value of b2 -4ac.
uadratic equation can be imaginary number, equal or two dis-
Learning Task 1. Complete the table given below and find the relations among
constants a, b and c in the quadratic equation standard form.
Equation
Roots
a
b2 - 4ac
X1
X2
x2 + 4x + 3 = 0
x2 -5x + 4 0
x2-49=0
4x2 - 25 = 0
2x2 + 7x + 3 = 0
%3D
D
The expression b2 - 4ac, is the quadratic equation's discriminant. The
discriminant determines the nature of the roots of a quadratic equation.
If
b2 - 4ac =0, then the roots are real and equal

part of work done by Odette in a minute
1-15
10
Equation:
1-15
10
10
(t- 15) +t
t(1- 15)
1
%3D
Find the LCD, Then add:
t-15
10
2t -15
+ 10(2t – 15) = t2-15
2-15t
10
20t - 150 = t2-5 +t- 20t + 145 = 0
You may solve the equation by any method applicable.
Learning Task 2.
A. Translate the following verbal sentences to mathematical sentence. Thee
press into quadratic equations in terms of "x".
Given
Quadratic Equations
1. The length of a wooden frame is 1 foot
longer than its width and its area is equal
to 12 ft2.
2. The length of the floor is 8 m longer than
its width and there is 20 square meters.
3. The length of a plywood is 0.9 m more
than its width and its area is 0.36 m2.
4. The area of rectangle whose length is six
less than twice its width is thirty-six.
5. The width of a rectangular plot is 5 m
less than its length and its area is 84 m2.
B. Solve for x:
%3D
x+5
10
PIVOT 4A CALABARZON
20
117

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Which of the following equations is a quadratic equation? O (x+5) (3x + 1) = 4 (-x4) %3D O 14x(x+1) = 15(x+4) (x- 1) %3D O 2x° = (2x - 1) (3x + 4) %3D O x* (x- 5) = 12 (x - 1) %3D